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Finding the Fourth Proportional to 11,585.87, 15,987.53 and 6,549.83

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Solution

The fourth proportional to 11,585.87, 15,987.53 and 6,549.83 is: 9,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.87 : 15,987.53 = 6,549.83 : x
  2. Step 2: Convert to fraction form
    11,585.87/15,987.53 = 6,549.83/x
  3. Step 3: Cross multiply
    11,585.87x = 15,987.53 × 6,549.83
  4. Step 4: Simplify right side
    11,585.87x = 104,715,603.62
  5. Step 5: Solve for x
    x = 104,715,603.62/11,585.87
  6. Step 6: Final answer
    x = 9,038.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.